79978752 has 360 divisors, whose sum is σ = 296788800. Its totient is φ = 20901888.

The previous prime is 79978739. The next prime is 79978757. The reversal of 79978752 is 25787997.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (2222640) is a multiple of the sum of its prime divisors (60).

It is not an unprimeable number, because it can be changed into a prime (79978757) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2757874 + ... + 2757902.

Almost surely, 2^79978752 is an apocalyptic number.

79978752 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 79978752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148394400).

79978752 is an abundant number, since it is smaller than the sum of its proper divisors (216810048).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

79978752 is a wasteful number, since it uses less digits than its factorization.

79978752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 60 counting only the distinct ones).

The product of its digits is 2222640, while the sum is 54.

The square root of 79978752 is about 8943.0840318092. The cubic root of 79978752 is about 430.8487867716.

The spelling of 79978752 in words is "seventy-nine million, nine hundred seventy-eight thousand, seven hundred fifty-two".